1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Colt1911 [192]
4 years ago
13

A quadratic function has a vertex at (2,5) and passes through the point (4,9).

Mathematics
1 answer:
uranmaximum [27]4 years ago
4 0
Since another way to write an equation for a parabola is a(x-h)^2-k, with h and k as the vertex points, we can plug that in to get a(x-2)^2-5. To find a, we plug 4 in and have 9 as what it equals, getting a(4-2)^2-5=9=4a-5=9 and 4a=14, where a=14/4. Therefore, the equation would be (14/4)(x-2)^2-5
You might be interested in
Solve foR a12-3(a-1)=11+a
9966 [12]

Answer:

Solve for a

a12−3(a−1)=11+a

Write the problem as a mathematical expression.

a12−3(a−1)=11+a

Simplify each term.

a12−3a+3=11+a

Graph each side of the equation. The solution is the x-value of the point of intersection.

a≈−1.1114621,1.23792371

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Find the length of chord QS <br><br> 1)5<br> 2)33<br> 3)21<br> 4)32
Harrizon [31]

Answer:

Length of Chord QS = 33

Step-by-step explanation:

<u>Length of Chord QS</u>:

QW X WS = PW = WR

12(4x + 1) = 14(3x + 3)

48x + 12 = 42x + 42

48x - 42x = 42 - 12

6x = 30

x = \frac{30}{6} = 5

∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33

The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.  Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D.  This theorem states that A×B is always equal to C×D no matter where the chords are.

8 0
4 years ago
Margie is standing on a bridge looking at the river below. She throws a rock over the bridge with an initial
Marina CMI [18]
<h2>Explanation:</h2><h2></h2>

Here we know that Margie is standing on a bridge looking at the river. She throws a rock over the bridge with an initial  velocity of 60 ft/sec. The height, h, of the rock at the rime t seconds after it was thrown can be modeled by the  equation:

h(t) = -16t^2+60t+72

To calculate how long will it take for the rock to reach the surface of the water, we need to set h(t)=0. So:

0 = -16t^2+60t+72 \\ \\ \\ \text{Using quadratic formula}: \\ \\ t=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ a=-16 \\ \\ b=60 \\ \\ c=72 \\ \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{8208}}{-32} \\ \\ t_{1}=4.70 \\ \\ t_{2}=-0.95

Given that time can't be negative, we just choose the positive value. Therefore, <em>it will take 4.70 seconds for the rock to reach the surface water.</em>

6 0
3 years ago
Consider the following pair of points.
dedylja [7]

Answer:

The answer is

<h2>\sqrt{265}  \:  \: or \:  \:  16.28 \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(9,-8) and (-7,-5)

The distance between them is

d =  \sqrt{ ({9 + 7})^{2}  +  ({ - 8 + 5})^{2} }  \\  =  \sqrt{ {16}^{2} + ( { - 3})^{2}  }  \\  =  \sqrt{256 + 9}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{265} \:  \:  \:  \:  \:  \:    \\  = 16.27882

We have the final answer as

\sqrt{265}  \:  \: or \:  \:  16.28 \:  \:  \:  \: units

Hope this helps you

4 0
3 years ago
6x+(-12x/2)+(-24x/2)​
saul85 [17]

Answer:

хззззззззззззззззз0з

4 0
3 years ago
Read 2 more answers
Other questions:
  • Gaelle et maeva souhaitent construire un circuit de karting en forme de 8... de ces deux circuits lequel est le plus long
    13·1 answer
  • What are the steps to drawing a triangle when
    12·1 answer
  • Help pls with 10 and 11
    5·1 answer
  • Danae is shopping for grass seed. The prices of bags from four brands are shown in the table.
    9·2 answers
  • 3x + 25 = 2(4x – 10) solve step by step
    12·2 answers
  • Marj needs to round $345.67$, and she wants the result to be as large as possible. She has to round to the nearest thousand, the
    6·1 answer
  • Help please! thank you!
    14·2 answers
  • HELP PLEASE- <br> I would really appreciate it
    8·1 answer
  • A classroom is 32 1/2 feet long, 30 feet wide, and 7 1/2 feet high what is the volume
    14·1 answer
  • Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!